Review Rotation Not around the Origin and Sequences

In the diagram below, congruent figures 1, 2, and 3 are drawn. Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

• A reflection Followed by a translation

• A rotation followed by a translation

• A translation followed by a reflection

• a translation followed by a rotation

Which figure always has exactly four lines of reflection that map the figure onto itself?

• Square

• rectangle

• octagon

• Equilateral Triangle

As shown in the graph of the rectangle. Which transformation would NOT map the rectangle back onto itself? (which transformation would the rectangle NOT be in the same spot)

• a reflection of the x-axis

• a reflection over the line x=4

• a rotation of 180 about the origin

• a rotation of 180 about point (4,0)

• (-1,-4)

• (-4,-1)

• (1,4)

• (4,1)

• (3,1), (-1,-7), (6,-6)

• (3,-3), (-1,5), (6,4)

• (1,-3), (5,5), (-2,4)

• (-1,-2), (3,6), (-4,5)

• reflection followed by a rotation

• reflection followed by a translation

• translation followed by a rotation

• translation followed by a reflection

• a rotation of 90° counterclockwise about the origin followed by a reflection over the x-axis

• a rotation of 90° counterclockwise about the origin followed by a translation down 7 units

• a reflection over the y-axis followed by a reflection over the x-axis

• a reflection over the x-axis followed by a rotation of 90° counterclockwise about the origin

Point S(-3,-5) is rotated -90 degrees around point (4,-2) where is S' located?

• (2,3)

• (1,5)

• (3,5)

• (3,8)

Point S(-5,3) is rotated -90 degrees around point (4,-2) where is S' located?

• (9,7)

• (8,6)

• (9,3)

• (6,2)

Which of the following correctly describes the general rule when rotating 90 degrees counter-clockwise?

• (x,y) --> (-x,-y)

• (x,y) --> (-y,-x)

• (x,y --> (y,-x)

• (x,y) --> (-y,x)